The eyes of baseball have been focused on Yasiel Puig, the Dodgers’ mesmerizing youngster, during his memorable (incredible?) debut week, but he’s not the only rookie making an impact across the country.

We’re roughly two-and-a-half months into the 2013 season, and it’s as good of a time as any to take a position-by-position look at this year’s crop of productive newbies.

We’ll call it the Sporting News mid-June All-Rookie team.

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1

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Catcher Evan Gattis, Braves

Necessary numbers: 14 home runs, .928 OPS

Gattis isn’t just the most compelling story in baseball this season, he’s been one of the few reliable sources of offense for the Braves. He’s played catcher, left field and first base as manager Fredi Gonzalez tries to keep his bat in the lineup—six-time All-Star Brian McCann is the primary catcher—he’s also 6-for-8 with four home runs as a pinch-hitter.

2

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First base: Matt Adams, Cardinals

Necessary numbers: .324 average, .935 OPS, four home runs

There are only a handful of rookie first basemen this season, and Adams has by far been the most productive, even though he’s had just 68 at-bats. He’s delivered when manager Mike Matheny has asked, though; the powerful left-handed slugger has a .375 average and 1.037 OPS as a pinch-hitter.

3

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Second base: Jurickson Profar, Rangers

Necessary numbers: .258 average, two homers in 17 games

Profar had a pair of RBIs in his 2013 season debut, when he was recalled from Class AAA to replace injured second baseman Ian Kinsler. He’s cooled off a bit after a rollicking start (.370 average in his first seven games), but there isn’t much rookie competition at second. Miami’s Derek Dietrich has five homers, but just a .223 average.

4

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Shortstop: Didi Gregorius, Diamondbacks

Necessary numbers: .308 average, .369 wOBA

Gregorius was Arizona’s primary acquisition in the three-team deal that landed Shin-Soo Cho with Cincinnati and Drew Stubbs with Cleveland this offseason. He’s been outstanding defensively at shortstop, and has spent most of his time with the Diamondbacks hitting second, right in front of Paul Goldschmidt.

5

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Third base: Jedd Gyorko, Padres

Necessary numbers: Eight homers, .284 average, .802 OPS

Gyorko combined for 55 homers and a .323 average in the minors the past two years, making the rise from Class A-advanced to Class AAA. After a so-so first month in the bigs, Gyorko hit .303 with six homers in May, and he has a .325 average and two homers so far in June. That’s a pretty smooth transition.

6

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Outfield: Marcell Ozuna, Marlins

Necessary numbers: .324 average, 13 doubles

Ozuna arrived in the majors amid tales of his epic power, which makes his big-league production thus far all the more surprising. The 6-1, 220-pound minor-league slugger has just one homer in 145 at-bats, but owns a lofty batting average and a 16-game hitting streak.

7

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Outfield: Yasiel Puig, Dodgers

Necessary numbers: .500 average, 1.453 OPS

Sure, he’s only played eight games in the majors, but he deserves a spot on this team. Puig singled in his first big-league at-bat and has four homers, six multi-hit games and 10 RBIs in his short time with the Dodgers. He already is a star in Los Angeles.

8

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Outfield: A.J. Pollock, Diamondbacks

Necessary numbers: .707 OPS, five homers, six stolen bases

Pollock has done a bit of everything for manager Kirk Gibson. Pollock, who was rated as Arizona’s 10th-best prospect by Baseball American before the season, has started games hitting first, second, fifth, sixth, seventh, eighth and ninth in the Diamondbacks’ lineup, and he’s played both center and left field.

9

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Utility: Jose Iglesias, Red Sox

Necessary numbers: .446 average, 13 runs scored

Long known as a defensive wizard at shortstop, Iglesias has stunned pretty much everyone with his offensive production, especially considering he hit just .118 in 68 at-bats for the Red Sox last year. He’s played 14 games at third base—filling in for Will Middlebrooks—this season, eight at shortstop and two at second base.

10

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Starting pitcher: Shelby Miller, Cardinals

Necessary numbers: 1.91 ERA, 9.7 K/9, 6.8 H/9

Miller had his rough moments in the minors, but excelled in a limited role down the stretch last fall and has been a Cy Young-caliber starter for the Cardinals in 2013. The hard-throwing right-hander has yet to allow more than three runs in any start, and he’s held the opponent scoreless in four of his 12 outings.

11

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Starting pitcher: Hyun-jin Ryu, Dodgers

Necessary numbers: 2.72 ERA, 1.109 WHIP, 8.3 K/9

Ryu and Clayton Kershaw have been the Dodgers’ only two reliable—and healthy—starting pitchers so far this season. A lefty who pitched seven years in the Korean Baseball Organization before coming to the United States, Ryu has thrown at least six full innings in 11 of his 12 starts, including a two-hit shutout of the cross-town Angels on May 28.

12

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Starting pitcher: Julio Teheran, Braves

Necessary numbers: 3.62 ERA, 1.195 WHIP, 3.87 K/BB ratio

Believe it or not, the 22-year-old Teheran still qualifies as a rookie. He’s been trumpeted as the future Atlanta ace for a couple of years now, but struggled in his limited exposure in the bigs in 2011 and 2012. His June 5 start against Pittsburgh—eight innings, one hit, 11 strikeouts—is what Braves fans have been waiting to see since he was 19.

13

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Starting pitcher: Jose Fernandez, Marlins

Necessary numbers: 3.17 ERA, 9.2 K/9

In six of his first 12 career starts, Fernandez, who is the organization’s No. 1 prospect in the Baseball America rankings, has allowed fewer than two runs. He absolutely owns the Mets—he’s already started four games against New York’s other team, and he has a 1.67 ERA, 0.909 WHIP and 27 strikeouts in 22 innings.

14

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Starting pitcher: Tony Cingrani, Reds

Necessary numbers: 3.27 ERA, 11.2 K/9

The Reds have five entrenched starters, but when Jonny Cueto landed on the disabled list, this lefty excelled in his six starts for Dusty Baker’s club—Cingrani had a 28-4 strikeout-to-walk ratio in his first three starts. With Cueto hurting again, Cingrani is scheduled to make his seventh start of the season on Tuesday.

15

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Reliever: Trevor Rosenthal, Cardinals

Necessary numbers: 1.69 ERA, 12.9 K/9

Like Shelby Miller, Rosenthal flashed his potential during the Cardinals’ 2012 pennant push and, like Miller, he’s been even better in 2013. Using primarily his formidable fastball—which sits at 96 mph and touches 100—the right-hander has locked down the eighth inning for the Cardinals (he has 15 holds, if you’re into that stat).

16

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Reliever: Ryan Pressly, Twins

Necessary numbers: 1.24 ERA, 6.8 H/9

A Rule 5 selection from the Boston organization last December, Pressly has been outstanding for the Twins this season. In his past eight outings, covering 9 1/3 innings, Pressly has struck out 10, allowed just six baserunners and hasn’t given up a run.